Article ID Journal Published Year Pages File Type
4657290 Journal of Combinatorial Theory, Series B 2008 17 Pages PDF
Abstract

We describe the computation of a catalogue containing all matroids with up to nine elements, and present some fundamental data arising from this catalogue. Our computation confirms and extends the results obtained in the 1960s by Blackburn, Crapo and Higgs. The matroids and associated data are stored in an on-line database, and we give three short examples of the use of this database.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics